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Computational Geometry
Specific References
Computational Geometry
Author : Parshuram Ahire, Shilpkala Jagtap
Book ID : 1711
CONTENTS
1. Two Dimensional Transformations
1. Introduction
2. Representation of Points
3. Transformation and Matrices
4. Transformation of Points (Scaling, Reflection & Shearing)
5. Rotation (about the Origin)
6. Transformation of Straight Line
7 Midpoint Transformation
8. Transformation of Parallel Lines
9. Transformation of Intersecting Lines
10. Transformation and Area of Plane Figure
11. Solid Body Transformations
12. Homogeneous Co-ordinates and Translation
13. Rotation about an Arbitrary Point
14. Reflection through an Arbitrary Line
15. Projection – a Geometric Interpretation of Homogeneous Co-ordinates
16. Overall Scaling
17. Points at Infinity
2. Three Dimensional Transformations
1. Introduction
2. Three Dimensional Rotation
3. Multiple Transformations
4. Reflections through Co-ordinate Planes
5. Reflection through an Arbitrary Plane
3. Projections
1. Introduction
2. Affine and Perspective Geometry
3. Orthographic Projection
4. Axonometric Projections
5. Oblique Projections
6. Perspective Projection
7. Vanishing Points
4. Plane Curves
1. Introduction
2. Curve Representation
3. Non-Parametric Curves
4. Parametric Curves
5. Parametric Representation of Circle
6. Parametric Representation of Ellipse
7. Parametric Representation of a Parabola and Generation of Parabola
8. Parametric Representation of a Hyperbola
5. Space Curves
1. Introduction
2. Be’zier Curves